Simplifying Algebraic Expressions Quiz 1
  • 1. Which expression is not equivalent to the other three?
A) 2n-3+4n-5
B) 2(3n-4)
C) 6(n-5)
D) -8-4n+10n
  • 2. Jake says the expressions 3(x+2) and 3x+2 are equivalent. Marie says they are not. Who is correct?
A) Jake,because they are both equal to 3x+2
B) Marie, because the first expression is equal to 3x+6
C) Marie, because the first expression is equal to 3x+5
  • 3. Use the distributive property to rewrite the expression in simplest form:
    3(x+5)
A) 3x+5
B) 3x+15
C) 3x+35
D) 3x+8
  • 4. Use the distributive property to rewrite the expression in simplest form:
    -4(m-7n)
A) -4m-28n
B) -4m+28n
C) -4m+7n
D) -4m-7n
  • 5. Use the distributive property to rewrite the expression in simplest form:
    6(3a+4b+2c)
A) 18a+24b+2c
B) 18a+10b+12c
C) 18a+24b+12c
D) 9a+10b+8c
  • 6. Use the distributive property to rewrite the expression in simplest form:
    -2(3p+7r-9)
A) -6p+14r+18
B) -6p-14r+18
C) -6p-14r-18
D) -6p-7r-18
  • 7. How many terms are in the following expression?
    2x+4-5y-6
A) 6
B) 9
C) 4
D) 5
  • 8. What are the Constants in the following expression?
    2x+4-5y-6
A) 2 and 5
B) 2 and -5
C) 4 and 6
D) 4 and -6
  • 9. What are the coefficients in the following expression?
    2x+4-5y-6
A) 4 and 6
B) 4 and -6
C) 2 and -5
D) 2 and 5
  • 10. Harry says (7+8)+9=(8+7)+9 is an example of the associative property.
    Hannah says it is an example of the commutative property. Who is correct and why?
A) Harry, because the order of numbers changed
B) Hannah, because the grouping changed.
C) Harry, because the grouping changed.
D) Hannah, because the order of numbers changed:
  • 11. Which expression is equivalent to 2.5(x - 1) + 4.5( -x - 2)?
A) -2x+11.5
B) 7x-11.5
C) 7x+11.5
D) -2x-11.5
  • 12. Nell writes the expression
    (3.6x + 6) - 4. She rewrites the expression using the associative property. Which expression could Nell have written using the associative property?
A) 3.6(x+6)-4
B) 5.6x
C) 9.6x-4
D) 3.6x(6-4)
  • 13. Which expression is equivalent to
    6x + 7.5?
A) -3(-2x-2.5)
B) -3(-2x+7.5)
C) -3(-2x-7.5)
D) -3(-2x+2.5)
  • 14. Mary solved the problem below and came up with the answer listed. Is * 5 Mary correct? If not, state what Mary did wrong and give the correct answer.
    9y- 3 + 5y
    9y- 5y - 3

    Mary's answer: 4y - 3
A) No, Mary should have subtracted 3 from 9y and then added 5y to get 11 y
B) No, Mary should have added 5y to 9y and gotten 14y - 3.
C) Yes, Mary's answer is correct.
D) No, Mary should have added 5y to 9y and gotten 14y + 3.
  • 15. Simplify the expression: 9a+5-7a-2
A) 2a+3
B) 2a-3
C) 16a-7
D) 16a+3
  • 16. Simplify the expression: -8m+3-6m-9
A) 14m-6
B) -2m-6
C) -14m+6
D) -14m-6
  • 17. Simplify the expression: 4x-12-9x-5
A) -5x-7
B) -5x-17
C) -13x-17
D) 5x-17
  • 18. Simplify the expression: 2(2x+10)+3x+4
A) 7x+14
B) 7x+17
C) 7x+24
D) 5x+14
  • 19. Simplify the expression:
    -3(9y+5)+ 7y-22
A) -14y-37
B) -20y-17
C) -20y-37
D) -20y-27
  • 20.
A) -7x+2
B) -7x+18
C) -7x-2
D) -9x+2
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